Q1) What is the difference between universal set and superset? Q2) If A={1,2,3} and B={1,2,3,4} , we say that B is superset of A . But can we say that B is a recommended universal set?
Answers
Step-by-step explanation:
Ans 1:
Superset:
A set A is subset of a set B if A is contained inside B i.e. every element of A is an element of B.
If A is a subset of B, then B contains A or B is the superset of A.
If B is the superset of A, then it is written as B ⊃ A
Ex: The set {a, b, c, d} is the superset of the set {b, c, d}
Universal Set:
A set contains all sets in a given context is called the universal set. It is the superset of each of the given set.
Generally, it is denoted by U.
Ex: Let A = {1,2,3}, B = {2,4,5,6} and C = {1,3,6,7}
Then Universal set U can be taken as
U = {1,2,3,4,5,6,7} because it contains all elements from the given sets.
Ans 2:
Given A = {1,2,3} and B = {1,2,3,4}, then B is superset of A.
Yes, we can say that B is the recommended universal set because it contains all elements and no other set is given.
So, U = B = {1,2,3,4}
Answer:
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